Not every interpretation of direction is that "positive is down". In this problem, assume that if initial position is above equilibrium, then it is positive, and if it is below equilibrium it is negative. This assumption will have implications on the initial velocity as well. A 8 kilogram mass is attached to a spring whose constant is 52.02 N/m, and the entire system is submerged in a liquid that imparts a damping force numerically equal to 41.12 times the instantaneous velocity. Determine the equation of motion f the mass is initially released from rest from 14 meters above equilibrium. #(t)
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
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